Number classification is the process of grouping or categorising numbers based on their properties and characteristics. In GCSE Mathematics or high school, numbers are classified into different categories based on their properties: prime, composite, rational, irrational, natural, whole, integers, and real numbers.
Here are some examples of each category of numbers:
👉
Prime Numbers: A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. For example, prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and 37.
👉
Composite Numbers: A composite number is a positive integer with at least one positive divisor other than 1 and itself. For example, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, and 21 are composite numbers.
👉
Rational Numbers: A rational number is a number that can be expressed as a ratio of two integers where the denominator is not zero. For example, 3/4, 5/8, -2/3, and 1 are rational numbers.
👉
Irrational Numbers: An irrational number is a number that cannot be expressed as a ratio of two integers. It is a non-repeating, non-terminating decimal. For example, √2, √3, and π are irrational numbers.
👉
Natural Numbers: Natural numbers are counting numbers that start from 1 and go to infinity. For example, natural numbers are 1, 2, 3, 4, 5, and so on.
👉
Whole Numbers: Whole numbers are natural numbers and zero. For example, whole numbers are 0, 1, 2, 3, 4, etc.
👉
Integers: Integers are whole numbers and their negative counterparts. For example, -3, -2, -1, 0, 1, 2, and 3 are integers.
👉
Real Numbers: Real numbers can be represented on a number line. They include both rational and irrational numbers. For example, -3.5, 0, √2, and π are real numbers.
Understanding number classification is important in mathematics because it helps solve problems and apply mathematical concepts.
Revision Quiz
To answer the questions correctly, hover over each option and click to select it. After you finish, click 'Submit' to check your score and see the correct answers and explanations. Most questions will include an explanation with the answer. Please take the time to read the explanations accompanying the answers to your questions. Doing so will give you a better overall understanding of the topic. All the best!
